@aaaaa Nah, the peppers thing is “chushki byurek”. Or, wait, that’s actually peppers fried in dough, not stuffed with cheese…
In any case, I found an interesting study (link) about the various names of the banitsas/bureks in the Bulgarian dialects. So it seems to be a regional thing – burek seems to be a Turkish loanword mostly popular in Macedonia (and Bosnia?), whereas the Serbs use gibanica, I think, which appears to be the oldest, Proto-Slavic form. And it also seems that the mlin and klin I’ve only heard about are also the same thing, but in different regions.